Question

How do you simplify and find the excluded value of `(3z^2 + z) /( 18z + 6 )`?

Answer 1

`"see explanation"`

Explanation:

`"the excluded values are any values of z that make the"`
`"denominator equal zero as this would make the rational"`
`"function undefined. Equating the denominator to zero"`
`"and solving gives the value that z cannot be"`

`"solve "18z+6=0rArr18z=-6rArrz=-6/18=-1/3`

`rArrz=-1/3larrcolor(red)"is the excluded value"`

`"To simplify factor numerator/denominator and cancel"`
`"any common factors"`

`rArr(zcancel((3z+1)))/(6cancel((3z+1)))=z/6`